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Capstone · Grades 7–9 Keystones #30 30 January 2026 Skills week 5 of 7
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Keystones — Capstone

Five GCSE retrieval questions · 30 January 2026 · mathsvault.uk/keystones

  1. 1. Number Index law — powers of powers

    Simplify: ((a4)2)2

    Answer: a16
  2. 2. Algebra Quadratic nth term

    Determine the nth term: 12, 21, 36, 57, ...

    Answer: 3n² + 9
  3. 3. Geometry Equation of a circle

    State the equation of a circle with centre (3, 8) and radius 10

    Answer: (x - 3)² + (y - 8)² = 100
  4. 4. Ratio Changing a ratio

    In ratio 2:3, if the second quantity is 21, what is the first?

    Answer: 14
  5. 5. Statistics Range

    Find the range of: 11, -30, -22, 37, -5

    Answer: 67

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